wedrifid comments on Rationality Quotes: April 2011 - Less Wrong
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Hasn't using DAGs to talk about causality long been a staple of the philosophy and computer science of causation? The logical positivist philosopher Hans Reichenbach used directed acyclic graphs to depict causal relationships between events in his book The Direction of Time (1956). (See, e.g., p. 37.)
A little searching online also turned up this 1977 article in Proc Annu Symp Comput Appl Med Care. From p. 72:
That article came out around the time of Pearl's first papers, and it doesn't cite him. Had his ideas already reached that level of saturation?
ETA: I've looked a little more closely at the 1977 paper, which is entitled "Problems in the Design of Knowledge Bases for Medical Consultation". It appears to completely lack the idea of performing surgery on the DAGs, though I may have missed something. Here is a longer quote from the paper (p. 72):
So, when it comes to demystifying causation, there is still a long distance from merely using DAGs to using DAGs in the particularly insightful way that Pearl does.
Hi, you might want to consider this paper:
http://www.ssc.wisc.edu/soc/class/soc952/Wright/Wright_The%20Method%20of%20Path%20Coefficients.pdf
This paper is remarkable not only because it correctly formalizes causation in linear models using DAGs, but also that it gives a method for connecting causal and observational quantities in a way that's still in use today. (The method itself was proposed in 1923, I believe). Edit: apparently in 1920-21, with earliest known reference apparently dating back to 1918.
Using DAGs for causality certainly predates Pearl. Identifying "randomization on X" with "dividing by P(x | pa(x))" might be implicit in fairly old papers also. Again, this idea predates Pearl.
There's always more to the story than one insightful book.
Good find, thanks. The handwritten equations are especially nice.
Ilya, it looks you're the perfect person to write an introductory LW post about causal graphs. We don't have any good intro to the topic showing why it is important and non-obvious (e.g. the smoking/tar/cancer example). I'm willing to read drafts, but given your credentials I think it's not necessary :-)